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Use "intuitiveness" in a sentence
"My republican intuitiveness is telling me to tell you all to put the paint gun down!"
"They developed the kind of intuitiveness that can only come from working closely together."
"Once you learn and internalize a different model your ability to reason within that model (and thus, I believe, its intuitiveness) is more a function of the features and formal structure of that model than of some inherent "intuitiveness" metric."